Domestic cleaner's opinion of lottery (10)
I believe the answer is:
sweepstake
'lottery' is the definition.
(sweepstake is a kind of lottery)
'domestic cleaner's opinion' is the wordplay.
'domestic cleaner's' becomes 'sweeps' (sweep is a kind of cleaner. I am not sure about the 'domestic' bit.).
'opinion' becomes 'take' (I've seen this in another clue).
'sweeps'+'take'='SWEEPSTAKE'
'of' acts as a link.
Can you help me to learn more?
(Other definitions for sweepstake that I've seen before include "lots here" , "System of gambling, especially on horse races" , "action on race" , "gamble" , "Lottery" .)